Diyadiya
  • Diyadiya
If the roots of \(ax^2+bx+c=0\) are in the ratio m:n then A.\(mna^2=(m+n)c^2\) B.\(mnb^2=(m+n)ac\) C.\(mnb^2=(m+n)^2ac\) D.None of these
Mathematics
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SOLVED
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chestercat
  • chestercat
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Diyadiya
  • Diyadiya
Let α and β be the roots \[\frac{α}{β}= \frac{m}{n}\]
anonymous
  • anonymous
\[n \alpha = \beta m\]\[\alpha +\beta = \frac{-b}a\]\[\alpha \beta = \frac c a \]Use these.
anonymous
  • anonymous
Substitute the values of the roots using the ratio relation, just do it. I don't wanna type it out all out, it's too algebraic to type.

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Diyadiya
  • Diyadiya
Wait i didn't get that ..
Diyadiya
  • Diyadiya
what's the value of the roots here?
Callisto
  • Callisto
It's very messy :( Only things on the left are related to this question...
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Callisto
  • Callisto
And for the second last step.. i should cross out the power of n, that is 2, instead of n, sorry :S
Diyadiya
  • Diyadiya
can you type the first equation ? :S
Callisto
  • Callisto
the first equation?
Diyadiya
  • Diyadiya
yeah i cant understand from the pic u attached
anonymous
  • anonymous
lol, 'This sheet must not be taken away"
Callisto
  • Callisto
Sorry... Dunno if it makes better or worse
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Diyadiya
  • Diyadiya
WOw Thank you Soo much!!!
Callisto
  • Callisto
Do you understand ?
Diyadiya
  • Diyadiya
Yup :)
Callisto
  • Callisto
Glad to help :D

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